Being resilient

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

What could the half time scores have been in these Olympic hockey matches?

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

Ben has five coins in his pocket. How much money might he have?

There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

How many possible symmetrical necklaces can you find? How do you know you've found them all?